Converting Units Within Customary System-Gr 5-Solved Examples

Solved Examples and Worksheet for Converting Units Within Customary System

Q1How many one cup servings can be made with 2 pints of milk?

A. 4
B. 6
C. 7
D. 5

Solutions

Step: 1

2 pints = 2 × 2 = 4 cups

[Since 1 pint = 2 cups, multiply 2 by 2.]

Step: 2

4 one-cup servings can be made with 2 pints of milk.

Correct Answer is : 4

Q2John bought a chain weighing 4 ounces. Express the weight of the chain in pounds.
A. 24
B. 64
C. 14
D. 4

Solutions

Step: 1

16 ounces = 1 pound

[Write pound in terms of ounces.]

Step: 2

4 ounces = 416

[Convert ounces to pounds; Divide 4 by 16.]

Step: 3

= 14 pound

[Divide numerator and denominator by their GCF, 4.]

Step: 4

The weight of the chain is 14 pound.

Correct Answer is : 14

Q3Brian bought 64 ounces of potatoes from a grocery store. How many pounds of potatoes did he buy?

A. 4
B. 6
C. 3
D. 5

Solutions

Step: 1

16 ounces = 1 pound

[Write pound in terms of ounces.]

Step: 2

64 ounces = 6416 = 4 pounds

[Convert ounces to pounds; Divide 64 by 16.]

Step: 3

Brian bought 4 pounds of potatoes.

Correct Answer is : 4

Q4How many pints are there in 96 oz?
A. 7 pints
B. 1536 pints
C. 12 pints
D. 6 pints

Solutions

Step: 1

16 oz = 1 pint

[Convert oz to pints.]

Step: 2

1 oz = 116 pints

[Divide each side by 16.]

Step: 3

96 oz = (96 × 1) oz = (96) × ( 116 ) pints

[Substitute 1 oz = 116 pints.]

Step: 4

= 6 pints

[Simplify.]

Step: 5

So, 96 oz equals 6 pints.

Correct Answer is : 6 pints

Q5How many ft. are there in 48 in.?

A. 3 ft
B. 4 ft
C. 36 ft
D. 48 ft

Solutions

Step: 1

12 in. = 1 ft

[Convert in. to ft.]

Step: 2

1 in. = 112 ft

[Divide each side by 12.]

Step: 3

48 in. = (48 × 1) in. = (48 × 112) ft

[Substitute 1 in. = 112 ft.]

Step: 4

= 4 ft

[Simplify.]

Step: 5

So, 48 in. = 4 ft.

Correct Answer is : 4 ft

Q6Which one shows 36 pints of oil in quarts?

A. 9 quarts
B. 18 quarts
C. 72 quarts
D. 4.5 quarts

Solutions

Step: 1

2 pints = 1 quart

[Convert pints to quarts.]

Step: 2

1 pint = 12 quarts

[Divide each side by 2.]

Step: 3

36 pints = (36 × 1) pints = (36 × 12) quarts

[Substitute 1 pint = 12 quarts.]

Step: 4

= 18 quarts

[Simplify.]

Step: 5

So, 36 pints of oil is 18 quarts.

Correct Answer is : 18 quarts

Q7How many yards are there in 21 ft?

A. 63 yd
B. 7 yd
C. 8 yd
D. 1.8 yd

Solutions

Step: 1

3 ft = 1 yd

[Convert feet to yards.]

Step: 2

1 ft = ( 13) yd

[Divide each side by 3.]

Step: 3

21 ft = (21 × 1) ft = 21 × ( 13) yd

[Substitute 1 ft = ( 13) yd.]

Step: 4

= 7 yd

[Simplify.]

Correct Answer is : 7 yd

Q8How many inches equal 5 feet?

A. 65 inches
B. 70 inches
C. 50 inches
D. 60 inches

Solutions

Step: 1

Here the conversion is from larger to smaller unit, so we multiply.

Step: 2

1 foot = 12 inches

[Conversion from feet to inches.]

Step: 3

5 feet = (5 × 1) feet = (5 × 12) inches

[Since 1 foot = 12 inches.]

Step: 4

= 60 inches

[Multiply.]

Step: 5

So, 5 feet are 60 inches.

Correct Answer is : 60 inches

Q9How many feet equal 3 yards?
A. 11 feet
B. 9 feet
C. 8 feet
D. 10 feet

Solutions

Step: 1

Here the conversion is from larger to smaller unit, so multiply.

Step: 2

1 yard = 3 feet

[Conversion from yard to feet.]

Step: 3

3 yards = (3 × 1) yards = (3 × 3) feet

[Since 1 yard = 3 feet.]

Step: 4

= 9 feet

[Multiply.]

Step: 5

So, 3 yards equal 9 feet.

Correct Answer is : 9 feet

Q10How many inches make 4 yards?
A. 149 inches
B. 154 inches
C. 144 inches
D. 134 inches

Solutions

Step: 1

Here the conversion is from larger to smaller unit, so multiply.

Step: 2

1 yard = 36 inches

[Conversion from yard to inches.]

Step: 3

4 yards = (4 × 1) yards = (4 × 36) inches

[Since 1 yard = 36 inches.]

Step: 4

= 144 inches

[Multiply.]

Step: 5

So, 4 yards equal 144 inches.

Correct Answer is : 144 inches

Q11How many feet make 9 miles?
A. 47520 feet
B. 47510 feet
C. 47420 feet
D. 46520 feet

Solutions

Step: 1

Here the conversion is from larger to smaller unit, so multiply.

Step: 2

1 mile = 5280 feet

[Conversion from mile to feet.]

Step: 3

9 miles = (9 × 1) miles = (9 × 5280) feet

[Since 1 mile = 5280 feet.]

Step: 4

= 47520 feet

[Multiply.]

Step: 5

So, 9 miles equal 47520 feet.

Correct Answer is : 47520 feet

Q1224 cups = ____ pints
Which number fills the blank?
A. 13
B. 12
C. 11
D. 14

Solutions

Step: 1

Here the conversion is from smaller to larger unit, so divide.

Step: 2

2 cups = 1 pint

[Conversion from cups to pint.]

Step: 3

24 cups = (242) pints

[Divide 24 cups by 2 cups, to convert into pints.]

Step: 4

= 12 pints

[Simplify.]

Step: 5

Among the choices, 12 best fills in the blank.

Correct Answer is : 12

Q13Which number would you choose to balance the sentence? 16 pints = ____ quarts

A. 8
B. 10
C. 9
D. 7

Solutions

Step: 1

Here the conversion is from smaller to larger unit, so divide.

Step: 2

2 pints = 1 quart

[Conversion from pints to quarts.]

Step: 3

16 pints = (162) quarts

[Divide 16 pints by 2 pints, to convert into quarts.]

Step: 4

= 8 quarts

[Simplify]

Step: 5

Among the choices, 8 best fills in the blank.

Correct Answer is : 8

Q145 gallons = ____ quarts

Which number best fills the blank?

A. 10
B. 5
C. 1.25
D. 20

Solutions

Step: 1

Here the conversion is from larger to smaller unit, so multiply.

Step: 2

1 gallon = 4 quarts

[Conversion from gallons to quarts.]

Step: 3

5 gallons = (5 × 1) gallons = (5 × 4) quarts

[Since 1 gallon = 4 quarts.]

Step: 4

= 20 quarts

[Multiply.]

Step: 5

So, 5 gallons is 20 quarts.

Correct Answer is : 20

Q15The table lists the weights of 4 different fruits Mr. Jeff had on 4 different days. How many ounces of fruits did he eat in all?

A. 48 ounces
B. 96 ounces
C. 24 ounces
D. 90 ounces

Solutions

Step: 1

1 pound = 16 ounces

Step: 2

The total weight of fruits Mr. Jeff had = 2 pounds of apples + 1 pound of grapes + 2 pounds of pineapples + 1 pound of strawberries.

Step: 3

= 6 pounds

[Add]

Step: 4

6 pounds = 6 × 1 pound

Step: 5

= 6 × 16 ounces

[Substitute]

Step: 6

= 96 ounces

[Multiply]

Correct Answer is : 96 ounces

Solved Examples and Worksheet for Converting Units Within Customary System

Related Worksheet

Related Topic

HighSchool Math